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Simplifying 3(2x + -3y) + 12 = 0 (2x * 3 + -3y * 3) + 12 = 0 (6x + -9y) + 12 = 0 Reorder the terms: 12 + 6x + -9y = 0 Solving 12 + 6x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6x + -12 + -9y = 0 + -12 Reorder the terms: 12 + -12 + 6x + -9y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + -9y = 0 + -12 6x + -9y = 0 + -12 Combine like terms: 0 + -12 = -12 6x + -9y = -12 Add '9y' to each side of the equation. 6x + -9y + 9y = -12 + 9y Combine like terms: -9y + 9y = 0 6x + 0 = -12 + 9y 6x = -12 + 9y Divide each side by '6'. x = -2 + 1.5y Simplifying x = -2 + 1.5y
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